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Finding the Fourth Proportional to 10,520.47, 14,517.97 and 5,804.65

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Solution

The fourth proportional to 10,520.47, 14,517.97 and 5,804.65 is: 8,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,520.47 : 14,517.97 = 5,804.65 : x
  2. Step 2: Convert to fraction form
    10,520.47/14,517.97 = 5,804.65/x
  3. Step 3: Cross multiply
    10,520.47x = 14,517.97 × 5,804.65
  4. Step 4: Simplify right side
    10,520.47x = 84,271,734.56
  5. Step 5: Solve for x
    x = 84,271,734.56/10,520.47
  6. Step 6: Final answer
    x = 8,010.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.